%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : SWC435_1 : TPTP v9.2.1. Released v9.0.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n019.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:59:17 AM UTC 2026 % Result : Theorem 0.44s 0.80s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWC435_1 : TPTP v9.2.1. Released v9.0.0. % 0.12/0.14 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n019.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 19:47:34 EDT 2026 % 0.17/0.35 % CPUTime : % 0.33/0.51 %----Proving TF0_ARI % 0.44/0.80 --- Run --finite-model-find --decision=internal at 45... % 0.44/0.80 --- Run --decision=internal --simplification=none --no-inst-no-entail --no-cbqi --full-saturate-quant at 60... % 0.44/0.80 % SZS status Theorem % 0.44/0.80 % SZS output start Proof % 0.44/0.80 ( % 0.44/0.80 (declare-const tptp.fast (-> Int Int)) % 0.44/0.80 (declare-const tptp.v1 (-> Int Int)) % 0.44/0.80 (declare-const tptp.f0 (-> Int Int Int)) % 0.44/0.80 (declare-const tptp.g0 (-> Int Int)) % 0.44/0.80 (declare-const tptp.h0 Int) % 0.44/0.80 (declare-const tptp.i0 (-> Int Int)) % 0.44/0.80 (declare-const tptp.j0 Int) % 0.44/0.80 (declare-const tptp.v0 (-> Int Int Int Int)) % 0.44/0.80 (declare-const tptp.u0 (-> Int Int Int Int)) % 0.44/0.80 (declare-const tptp.w0 (-> Int Int)) % 0.44/0.80 (declare-const tptp.small (-> Int Int)) % 0.44/0.80 (declare-const tptp.u1 (-> Int Int Int)) % 0.44/0.80 (declare-const tptp.f1 (-> Int Int)) % 0.44/0.80 (declare-const tptp.g1 Int) % 0.44/0.80 (declare-const tptp.h1 (-> Int Int)) % 0.44/0.80 (define @t1 () (@var "Y" Int)) % 0.44/0.80 (define @t2 () (@var "X" Int)) % 0.44/0.80 (define @t3 () (* @t2 @t2)) % 0.44/0.80 (define @t4 () (* @t3 @t1)) % 0.44/0.80 (define @t5 () (tptp.f0 @t2 @t1)) % 0.44/0.80 (define @t6 () (= @t5 @t4)) % 0.44/0.80 (define @t7 () (@list @t2 @t1)) % 0.44/0.80 (define @t8 () (forall @t7 @t6)) % 0.44/0.80 (define @t9 () (tptp.g0 @t2)) % 0.44/0.80 (define @t10 () (= @t9 @t2)) % 0.44/0.80 (define @t11 () (@list @t2)) % 0.44/0.80 (define @t12 () (forall @t11 @t10)) % 0.44/0.80 (define @t13 () (= tptp.h0 2)) % 0.44/0.80 (define @t14 () (+ 1 (+ @t2 @t2))) % 0.44/0.80 (define @t15 () (+ 1 (+ 2 2))) % 0.44/0.80 (define @t16 () (* @t15 @t14)) % 0.44/0.80 (define @t17 () (tptp.i0 @t2)) % 0.44/0.80 (define @t18 () (= @t17 @t16)) % 0.44/0.80 (define @t19 () (forall @t11 @t18)) % 0.44/0.80 (define @t20 () (= tptp.j0 1)) % 0.44/0.80 (define @t21 () (@var "Z" Int)) % 0.44/0.80 (define @t22 () (- @t2 1)) % 0.44/0.80 (define @t23 () (tptp.v0 @t22 @t1 @t21)) % 0.44/0.80 (define @t24 () (tptp.u0 @t22 @t1 @t21)) % 0.44/0.80 (define @t25 () (tptp.f0 @t24 @t23)) % 0.44/0.80 (define @t26 () (tptp.u0 @t2 @t1 @t21)) % 0.44/0.80 (define @t27 () (= @t26 @t25)) % 0.44/0.80 (define @t28 () (<= @t2 0)) % 0.44/0.80 (define @t29 () (not @t28)) % 0.44/0.80 (define @t30 () (=> @t29 @t27)) % 0.44/0.80 (define @t31 () (= @t26 @t1)) % 0.44/0.80 (define @t32 () (=> @t28 @t31)) % 0.44/0.80 (define @t33 () (and @t32 @t30)) % 0.44/0.80 (define @t34 () (@list @t2 @t1 @t21)) % 0.44/0.80 (define @t35 () (forall @t34 @t33)) % 0.44/0.80 (define @t36 () (tptp.g0 @t24)) % 0.44/0.80 (define @t37 () (tptp.v0 @t2 @t1 @t21)) % 0.44/0.80 (define @t38 () (= @t37 @t36)) % 0.44/0.80 (define @t39 () (=> @t29 @t38)) % 0.44/0.80 (define @t40 () (= @t37 @t21)) % 0.44/0.80 (define @t41 () (=> @t28 @t40)) % 0.44/0.80 (define @t42 () (and @t41 @t39)) % 0.44/0.80 (define @t43 () (forall @t34 @t42)) % 0.44/0.80 (define @t44 () (tptp.w0 @t2)) % 0.44/0.80 (define @t45 () (tptp.small @t2)) % 0.44/0.80 (define @t46 () (= @t45 @t44)) % 0.44/0.80 (define @t47 () (forall @t11 @t46)) % 0.44/0.80 (define @t48 () (* @t3 @t2)) % 0.44/0.80 (define @t49 () (* @t48 @t2)) % 0.44/0.80 (define @t50 () (* @t49 @t2)) % 0.44/0.80 (define @t51 () (tptp.f1 @t2)) % 0.44/0.80 (define @t52 () (= @t51 @t50)) % 0.44/0.80 (define @t53 () (forall @t11 @t52)) % 0.44/0.80 (define @t54 () (= tptp.g1 1)) % 0.44/0.80 (define @t55 () (tptp.h1 @t2)) % 0.44/0.80 (define @t56 () (= @t55 @t16)) % 0.44/0.80 (define @t57 () (forall @t11 @t56)) % 0.44/0.80 (define @t58 () (tptp.u1 @t22 @t1)) % 0.44/0.80 (define @t59 () (tptp.f1 @t58)) % 0.44/0.80 (define @t60 () (tptp.u1 @t2 @t1)) % 0.44/0.80 (define @t61 () (= @t60 @t59)) % 0.44/0.80 (define @t62 () (=> @t29 @t61)) % 0.44/0.80 (define @t63 () (= @t60 @t1)) % 0.44/0.80 (define @t64 () (=> @t28 @t63)) % 0.44/0.80 (define @t65 () (and @t64 @t62)) % 0.44/0.80 (define @t66 () (forall @t7 @t65)) % 0.44/0.80 (define @t67 () (tptp.v1 @t2)) % 0.44/0.80 (define @t68 () (tptp.fast @t2)) % 0.44/0.80 (define @t69 () (= @t68 @t67)) % 0.44/0.80 (define @t70 () (forall @t11 @t69)) % 0.44/0.80 (define @t71 () (@var "C" Int)) % 0.44/0.80 (define @t72 () (= (tptp.small @t71) (tptp.fast @t71))) % 0.44/0.80 (define @t73 () (not @t72)) % 0.44/0.80 (define @t74 () (>= @t71 0)) % 0.44/0.80 (define @t75 () (and @t74 @t73)) % 0.44/0.80 (define @t76 () (@list @t71)) % 0.44/0.80 (define @t77 () (exists @t76 @t75)) % 0.44/0.80 (define @t78 () (+ -1 @t2)) % 0.44/0.80 (define @t79 () (= @t60 (tptp.f1 (tptp.u1 @t78 @t1)))) % 0.44/0.80 (define @t80 () (>= @t2 1)) % 0.44/0.80 (define @t81 () (not @t80)) % 0.44/0.80 (define @t82 () (or @t81 @t79)) % 0.44/0.80 (define @t83 () (forall @t7 @t82)) % 0.44/0.80 (define @t84 () (@list @t2 @t1)) % 0.44/0.80 (define @t85 () (= @t1 @t60)) % 0.44/0.80 (define @t86 () (or @t80 @t85)) % 0.44/0.80 (define @t87 () (forall @t7 @t86)) % 0.44/0.80 (define @t88 () (@var "BOUND_VARIABLE_7666" Int)) % 0.44/0.80 (define @t89 () (@var "BOUND_VARIABLE_7664" Int)) % 0.44/0.80 (define @t90 () (and @t87 @t83)) % 0.44/0.80 (define @t91 () (not @t81)) % 0.44/0.80 (define @t92 () (and (=> @t81 @t85) (=> @t80 @t79))) % 0.44/0.80 (define @t93 () (* -1 1)) % 0.44/0.80 (define @t94 () (+ @t2 @t93)) % 0.44/0.80 (define @t95 () (+ 0 1)) % 0.44/0.80 (define @t96 () (>= @t2 @t95)) % 0.44/0.80 (define @t97 () (not @t74)) % 0.44/0.80 (define @t98 () (@quantifiers_skolemize (forall @t76 (or @t97 @t72)) 0)) % 0.44/0.80 (define @t99 () (tptp.h1 @t98)) % 0.44/0.80 (define @t100 () (+ -10 tptp.g1)) % 0.44/0.80 (define @t101 () (tptp.u1 @t100 @t99)) % 0.44/0.80 (define @t102 () (= @t99 @t101)) % 0.44/0.80 (define @t103 () (>= tptp.g1 11)) % 0.44/0.80 (define @t104 () (>= @t100 1)) % 0.44/0.80 (define @t105 () (or @t104 @t102)) % 0.44/0.80 (define @t106 () (forall (@list @t89 @t88) (or (>= @t89 1) (= @t88 (tptp.u1 @t89 @t88))))) % 0.44/0.80 (define @t107 () (or @t103 @t102)) % 0.44/0.80 (define @t108 () (@list false)) % 0.44/0.80 (define @t109 () (@list @t106)) % 0.44/0.80 (define @t110 () (+ -5 tptp.g1)) % 0.44/0.80 (define @t111 () (tptp.u1 @t110 @t99)) % 0.44/0.80 (define @t112 () (= @t99 @t111)) % 0.44/0.80 (define @t113 () (>= tptp.g1 6)) % 0.44/0.80 (define @t114 () (>= @t110 1)) % 0.44/0.80 (define @t115 () (or @t114 @t112)) % 0.44/0.80 (define @t116 () (or @t113 @t112)) % 0.44/0.80 (define @t117 () (* -1 6)) % 0.44/0.80 (define @t118 () (+ @t117 1)) % 0.44/0.80 (define @t119 () (* -1 tptp.g1)) % 0.44/0.80 (define @t120 () (+ @t119 tptp.g1)) % 0.44/0.80 (define @t121 () (= @t120 0)) % 0.44/0.80 (define @t122 () (< -1 0)) % 0.44/0.80 (define @t123 () (and @t113 @t54)) % 0.44/0.80 (define @t124 () (@list @t54)) % 0.44/0.80 (define @t125 () (@list true false)) % 0.44/0.80 (define @t126 () (= @t111 @t101)) % 0.44/0.80 (define @t127 () (and @t112 @t102)) % 0.44/0.80 (define @t128 () (* 2 @t2)) % 0.44/0.80 (define @t129 () (+ 1 @t128)) % 0.44/0.80 (define @t130 () (+ @t128 1)) % 0.44/0.80 (define @t131 () (@list @t98)) % 0.44/0.80 (define @t132 () (tptp.u0 @t78 @t1 @t21)) % 0.44/0.80 (define @t133 () (= @t26 (tptp.f0 @t132 (tptp.v0 @t78 @t1 @t21)))) % 0.44/0.80 (define @t134 () (or @t81 @t133)) % 0.44/0.80 (define @t135 () (forall @t34 @t134)) % 0.44/0.80 (define @t136 () (@list @t2 @t1 @t21)) % 0.44/0.80 (define @t137 () (@var "BOUND_VARIABLE_7575" Int)) % 0.44/0.80 (define @t138 () (@var "BOUND_VARIABLE_7573" Int)) % 0.44/0.80 (define @t139 () (@var "BOUND_VARIABLE_7571" Int)) % 0.44/0.80 (define @t140 () (= @t1 @t26)) % 0.44/0.80 (define @t141 () (or @t80 @t140)) % 0.44/0.80 (define @t142 () (forall @t34 @t141)) % 0.44/0.80 (define @t143 () (@var "BOUND_VARIABLE_7563" Int)) % 0.44/0.80 (define @t144 () (@var "BOUND_VARIABLE_7561" Int)) % 0.44/0.80 (define @t145 () (@var "BOUND_VARIABLE_7559" Int)) % 0.44/0.80 (define @t146 () (and @t142 @t135)) % 0.44/0.80 (define @t147 () (and (=> @t81 @t140) (=> @t80 @t133))) % 0.44/0.80 (define @t148 () (tptp.i0 @t98)) % 0.44/0.80 (define @t149 () (+ -10 tptp.h0)) % 0.44/0.80 (define @t150 () (tptp.u0 @t149 @t148 tptp.j0)) % 0.44/0.80 (define @t151 () (= @t148 @t150)) % 0.44/0.80 (define @t152 () (>= tptp.h0 11)) % 0.44/0.80 (define @t153 () (>= @t149 1)) % 0.44/0.80 (define @t154 () (or @t153 @t151)) % 0.44/0.80 (define @t155 () (forall (@list @t145 @t144 @t143) (or (>= @t145 1) (= @t144 (tptp.u0 @t145 @t144 @t143))))) % 0.44/0.80 (define @t156 () (@list @t149 @t148 tptp.j0)) % 0.44/0.80 (define @t157 () (or @t152 @t151)) % 0.44/0.80 (define @t158 () (@list @t155)) % 0.44/0.80 (define @t159 () (* -1 11)) % 0.44/0.80 (define @t160 () (+ @t159 2)) % 0.44/0.80 (define @t161 () (* -1 tptp.h0)) % 0.44/0.80 (define @t162 () (+ @t161 tptp.h0)) % 0.44/0.80 (define @t163 () (= @t162 0)) % 0.44/0.80 (define @t164 () (and @t152 @t13)) % 0.44/0.80 (define @t165 () (@list @t13)) % 0.44/0.80 (define @t166 () (+ 5 (* 10 @t98))) % 0.44/0.80 (define @t167 () (= @t148 @t166)) % 0.44/0.80 (define @t168 () (= @t99 @t166)) % 0.44/0.80 (define @t169 () (= @t150 @t101)) % 0.44/0.80 (define @t170 () (and @t167 @t168 @t151 @t102)) % 0.44/0.80 (define @t171 () (= @t37 (tptp.g0 @t132))) % 0.44/0.80 (define @t172 () (or @t81 @t171)) % 0.44/0.80 (define @t173 () (forall @t34 @t172)) % 0.44/0.80 (define @t174 () (@var "BOUND_VARIABLE_7620" Int)) % 0.44/0.80 (define @t175 () (@var "BOUND_VARIABLE_7618" Int)) % 0.44/0.80 (define @t176 () (@var "BOUND_VARIABLE_7616" Int)) % 0.44/0.80 (define @t177 () (= @t21 @t37)) % 0.44/0.80 (define @t178 () (or @t80 @t177)) % 0.44/0.80 (define @t179 () (forall @t34 @t178)) % 0.44/0.80 (define @t180 () (@var "BOUND_VARIABLE_7608" Int)) % 0.44/0.80 (define @t181 () (@var "BOUND_VARIABLE_7606" Int)) % 0.44/0.80 (define @t182 () (@var "BOUND_VARIABLE_7604" Int)) % 0.44/0.80 (define @t183 () (and @t179 @t173)) % 0.44/0.80 (define @t184 () (and (=> @t81 @t177) (=> @t80 @t171))) % 0.44/0.80 (define @t185 () (tptp.v0 @t149 @t148 tptp.j0)) % 0.44/0.80 (define @t186 () (= tptp.j0 @t185)) % 0.44/0.80 (define @t187 () (or @t153 @t186)) % 0.44/0.80 (define @t188 () (forall (@list @t182 @t181 @t180) (or (>= @t182 1) (= @t180 (tptp.v0 @t182 @t181 @t180))))) % 0.44/0.80 (define @t189 () (or @t152 @t186)) % 0.44/0.80 (define @t190 () (@list @t188)) % 0.44/0.80 (define @t191 () (* @t2 @t2)) % 0.44/0.80 (define @t192 () (+ -2 tptp.h0)) % 0.44/0.80 (define @t193 () (tptp.u0 @t192 @t148 tptp.j0)) % 0.44/0.80 (define @t194 () (= @t148 @t193)) % 0.44/0.80 (define @t195 () (>= tptp.h0 3)) % 0.44/0.80 (define @t196 () (>= @t192 1)) % 0.44/0.80 (define @t197 () (or @t196 @t194)) % 0.44/0.80 (define @t198 () (@list @t192 @t148 tptp.j0)) % 0.44/0.80 (define @t199 () (or @t195 @t194)) % 0.44/0.80 (define @t200 () (<= 0 -1)) % 0.44/0.80 (define @t201 () (* -1 3)) % 0.44/0.80 (define @t202 () (+ @t201 2)) % 0.44/0.80 (define @t203 () (and @t195 @t13)) % 0.44/0.80 (define @t204 () (+ tptp.h0 -2)) % 0.44/0.80 (define @t205 () (+ -1 tptp.h0)) % 0.44/0.80 (define @t206 () (+ -1 @t205)) % 0.44/0.80 (define @t207 () (tptp.u0 @t206 @t148 tptp.j0)) % 0.44/0.80 (define @t208 () (tptp.g0 @t207)) % 0.44/0.80 (define @t209 () (tptp.v0 @t205 @t148 tptp.j0)) % 0.44/0.80 (define @t210 () (= @t209 @t208)) % 0.44/0.80 (define @t211 () (>= tptp.h0 2)) % 0.44/0.80 (define @t212 () (>= @t205 1)) % 0.44/0.80 (define @t213 () (not @t212)) % 0.44/0.80 (define @t214 () (or @t213 @t210)) % 0.44/0.80 (define @t215 () (forall (@list @t176 @t175 @t174) (or (not (>= @t176 1)) (= (tptp.v0 @t176 @t175 @t174) (tptp.g0 (tptp.u0 (+ -1 @t176) @t175 @t174)))))) % 0.44/0.80 (define @t216 () (@list @t205 @t148 tptp.j0)) % 0.44/0.80 (define @t217 () (tptp.g0 @t193)) % 0.44/0.80 (define @t218 () (= @t209 @t217)) % 0.44/0.80 (define @t219 () (not @t211)) % 0.44/0.80 (define @t220 () (or @t219 @t218)) % 0.44/0.80 (define @t221 () (not @t13)) % 0.44/0.80 (define @t222 () (+ 1 1)) % 0.44/0.80 (define @t223 () (>= tptp.h0 @t222)) % 0.44/0.80 (define @t224 () (<= tptp.h0 1)) % 0.44/0.80 (define @t225 () (* -1 2)) % 0.44/0.80 (define @t226 () (+ 1 @t225)) % 0.44/0.80 (define @t227 () (+ tptp.h0 @t161)) % 0.44/0.80 (define @t228 () (= @t227 0)) % 0.44/0.80 (define @t229 () (and @t219 @t13)) % 0.44/0.80 (define @t230 () (@list false false)) % 0.44/0.80 (define @t231 () (= @t193 @t217)) % 0.44/0.80 (define @t232 () (= @t209 @t111)) % 0.44/0.80 (define @t233 () (and @t167 @t168 @t218 @t231 @t194 @t112)) % 0.44/0.80 (define @t234 () (* @t2 @t2 @t2 @t2)) % 0.44/0.80 (define @t235 () (* @t2 @t2 @t2)) % 0.44/0.80 (define @t236 () (+ -1 tptp.g1)) % 0.44/0.80 (define @t237 () (tptp.u1 @t236 @t99)) % 0.44/0.80 (define @t238 () (= @t99 @t237)) % 0.44/0.80 (define @t239 () (>= tptp.g1 2)) % 0.44/0.80 (define @t240 () (>= @t236 1)) % 0.44/0.80 (define @t241 () (or @t240 @t238)) % 0.44/0.80 (define @t242 () (or @t239 @t238)) % 0.44/0.80 (define @t243 () (+ @t225 1)) % 0.44/0.80 (define @t244 () (and @t239 @t54)) % 0.44/0.80 (define @t245 () (tptp.u0 @t205 @t148 tptp.j0)) % 0.44/0.80 (define @t246 () (>= tptp.g1 1)) % 0.44/0.80 (define @t247 () (not @t54)) % 0.44/0.80 (define @t248 () (not @t246)) % 0.44/0.80 (define @t249 () (>= tptp.g1 @t95)) % 0.44/0.80 (define @t250 () (<= tptp.g1 0)) % 0.44/0.80 (define @t251 () (+ 0 @t93)) % 0.44/0.80 (define @t252 () (+ tptp.g1 @t119)) % 0.44/0.80 (define @t253 () (and @t248 @t54)) % 0.44/0.80 (define @t254 () (tptp.f1 @t237)) % 0.44/0.80 (define @t255 () (tptp.u1 tptp.g1 @t99)) % 0.44/0.80 (define @t256 () (= @t255 @t254)) % 0.44/0.80 (define @t257 () (or @t248 @t256)) % 0.44/0.80 (define @t258 () (>= tptp.h0 1)) % 0.44/0.80 (define @t259 () (not @t258)) % 0.44/0.80 (define @t260 () (>= tptp.h0 @t95)) % 0.44/0.80 (define @t261 () (<= tptp.h0 0)) % 0.44/0.80 (define @t262 () (+ 0 @t225)) % 0.44/0.80 (define @t263 () (and @t259 @t13)) % 0.44/0.80 (define @t264 () (tptp.f0 @t245 @t209)) % 0.44/0.80 (define @t265 () (tptp.u0 tptp.h0 @t148 tptp.j0)) % 0.44/0.80 (define @t266 () (= @t265 @t264)) % 0.44/0.80 (define @t267 () (or @t259 @t266)) % 0.44/0.80 (define @t268 () (= @t67 @t68)) % 0.44/0.80 (define @t269 () (tptp.v1 @t98)) % 0.44/0.80 (define @t270 () (tptp.fast @t98)) % 0.44/0.80 (define @t271 () (= @t270 @t269)) % 0.44/0.80 (define @t272 () (= @t269 @t270)) % 0.44/0.80 (define @t273 () (forall @t11 @t268)) % 0.44/0.80 (define @t274 () (= @t44 @t45)) % 0.44/0.80 (define @t275 () (tptp.w0 @t98)) % 0.44/0.80 (define @t276 () (tptp.small @t98)) % 0.44/0.80 (define @t277 () (= @t276 @t275)) % 0.44/0.80 (define @t278 () (= @t275 @t276)) % 0.44/0.80 (define @t279 () (forall @t11 @t274)) % 0.44/0.80 (define @t280 () (forall @t76 (not @t75))) % 0.44/0.80 (define @t281 () (not @t280)) % 0.44/0.80 (define @t282 () (= @t276 @t270)) % 0.44/0.80 (define @t283 () (or (not (>= @t98 0)) @t282)) % 0.44/0.80 (define @t284 () (not @t282)) % 0.44/0.80 (define @t285 () (@list true)) % 0.44/0.80 (define @t286 () (* @t111 @t111 @t111 @t111 @t111)) % 0.44/0.80 (define @t287 () (* @t245 @t245 @t209)) % 0.44/0.80 (define @t288 () (= @t287 @t286)) % 0.44/0.80 (define @t289 () (not @t288)) % 0.44/0.80 (define @t290 () (not @t112)) % 0.44/0.80 (define @t291 () (tptp.f1 @t111)) % 0.44/0.80 (define @t292 () (= @t291 @t286)) % 0.44/0.80 (define @t293 () (not @t292)) % 0.44/0.80 (define @t294 () (not @t238)) % 0.44/0.80 (define @t295 () (= @t264 @t287)) % 0.44/0.80 (define @t296 () (not @t295)) % 0.44/0.80 (define @t297 () (not @t256)) % 0.44/0.80 (define @t298 () (not @t168)) % 0.44/0.80 (define @t299 () (not @t266)) % 0.44/0.80 (define @t300 () (not @t167)) % 0.44/0.80 (define @t301 () (= @t269 @t255)) % 0.44/0.80 (define @t302 () (not @t301)) % 0.44/0.80 (define @t303 () (= @t275 @t265)) % 0.44/0.80 (define @t304 () (not @t303)) % 0.44/0.80 (define @t305 () (not @t271)) % 0.44/0.80 (define @t306 () (not @t277)) % 0.44/0.80 (define @t307 () (= @t270 @t291)) % 0.44/0.80 (define @t308 () (= @t148 @t111)) % 0.44/0.80 (define @t309 () (= @t148 @t237)) % 0.44/0.80 (define @t310 () (= @t270 @t254)) % 0.44/0.80 (define @t311 () (and @t284 @t277 @t271 @t303 @t301 @t167 @t266 @t168 @t256 @t295 @t238 @t292 @t112)) % 0.44/0.80 (define @t312 () (= @t286 @t287)) % 0.44/0.80 (define @t313 () (* @t111 @t111)) % 0.44/0.80 (define @t314 () (= @t245 @t313)) % 0.44/0.80 (define @t315 () (and @t314 @t232)) % 0.44/0.80 (define @t316 () (not @t315)) % 0.44/0.80 (define @t317 () (not @t314)) % 0.44/0.80 (define @t318 () (tptp.v0 @t192 @t148 tptp.j0)) % 0.44/0.80 (define @t319 () (= tptp.j0 @t318)) % 0.44/0.80 (define @t320 () (or @t196 @t319)) % 0.44/0.80 (define @t321 () (or @t195 @t319)) % 0.44/0.80 (define @t322 () (tptp.v0 @t206 @t148 tptp.j0)) % 0.44/0.80 (define @t323 () (tptp.f0 @t207 @t322)) % 0.44/0.80 (define @t324 () (= @t245 @t323)) % 0.44/0.80 (define @t325 () (or @t213 @t324)) % 0.44/0.80 (define @t326 () (+ -1 @t139)) % 0.44/0.80 (define @t327 () (forall (@list @t139 @t138 @t137) (or (not (>= @t139 1)) (= (tptp.u0 @t139 @t138 @t137) (tptp.f0 (tptp.u0 @t326 @t138 @t137) (tptp.v0 @t326 @t138 @t137)))))) % 0.44/0.80 (define @t328 () (tptp.f0 @t193 @t318)) % 0.44/0.80 (define @t329 () (= @t245 @t328)) % 0.44/0.80 (define @t330 () (or @t219 @t329)) % 0.44/0.80 (define @t331 () (* @t150 @t150 @t185)) % 0.44/0.80 (define @t332 () (= @t313 @t331)) % 0.44/0.80 (define @t333 () (not @t332)) % 0.44/0.80 (define @t334 () (not @t186)) % 0.44/0.80 (define @t335 () (not @t151)) % 0.44/0.80 (define @t336 () (tptp.f0 @t150 @t185)) % 0.44/0.80 (define @t337 () (= @t336 @t331)) % 0.44/0.80 (define @t338 () (not @t337)) % 0.44/0.80 (define @t339 () (not @t319)) % 0.44/0.80 (define @t340 () (not @t194)) % 0.44/0.80 (define @t341 () (not @t231)) % 0.44/0.80 (define @t342 () (not @t218)) % 0.44/0.80 (define @t343 () (not @t329)) % 0.44/0.80 (define @t344 () (not @t20)) % 0.44/0.80 (define @t345 () (= @t245 @t336)) % 0.44/0.80 (define @t346 () (= (* 1 (- @t331 @t313)) (* -1 (- @t313 @t331)))) % 0.44/0.80 (define @t347 () (= @t331 @t313)) % 0.44/0.80 (define @t348 () (= @t347 @t332)) % 0.44/0.80 (define @t349 () (= @t148 @t209)) % 0.44/0.80 (define @t350 () (= @t209 @t193)) % 0.44/0.80 (define @t351 () (= 1 @t185)) % 0.44/0.80 (define @t352 () (= 1 @t318)) % 0.44/0.80 (define @t353 () (and @t20 @t329 @t218 @t231 @t194 @t319 @t317 @t337 @t151 @t186)) % 0.44/0.80 (define @t354 () (= @t185 1)) % 0.44/0.80 (define @t355 () (and @t126 @t169 @t354)) % 0.44/0.80 (define @t356 () (not @t355)) % 0.44/0.80 (define @t357 () (and @t20 @t186)) % 0.44/0.80 (define @t358 () (+ @t159 1)) % 0.44/0.80 (define @t359 () (and @t103 @t54)) % 0.44/0.80 (assume @p1 @t8) % 0.44/0.80 (assume @p2 @t12) % 0.44/0.80 (assume @p3 @t13) % 0.44/0.80 (assume @p4 @t19) % 0.44/0.80 (assume @p5 @t20) % 0.44/0.80 (assume @p6 @t35) % 0.44/0.80 (assume @p7 @t43) % 0.44/0.80 (assume @p8 (forall @t11 (= @t44 (tptp.u0 tptp.h0 @t17 tptp.j0)))) % 0.44/0.80 (assume @p9 @t47) % 0.44/0.80 (assume @p10 @t53) % 0.44/0.80 (assume @p11 @t54) % 0.44/0.80 (assume @p12 @t57) % 0.44/0.80 (assume @p13 @t66) % 0.44/0.80 (assume @p14 (forall @t11 (= @t67 (tptp.u1 tptp.g1 @t55)))) % 0.44/0.80 (assume @p15 @t70) % 0.44/0.80 (assume @p16 (not (not @t77))) % 0.44/0.80 (assume @p17 true) % 0.44/0.80 (step @p18 :rule alpha_equiv :args (@t83 @t84 (@list (@var "BOUND_VARIABLE_7674" Int) (@var "BOUND_VARIABLE_7676" Int)))) % 0.44/0.80 (step @p19 :rule alpha_equiv :args (@t87 @t84 (@list @t89 @t88))) % 0.44/0.80 (step @p20 :rule nary_cong :premises (@p19 @p18) :args (@t90)) % 0.44/0.80 (step @p21 :rule quant-miniscope-and 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0.44/0.80 (step @p37 :rule trans :premises (@p36 @p33)) % 0.44/0.80 (step @p38 :rule arith_poly_norm :args ((= @t22 @t94))) % 0.44/0.80 (step @p39 :rule trans :premises (@p38 @p37)) % 0.44/0.80 (step @p40 :rule cong :premises (@p39 @p32) :args (@t58)) % 0.44/0.80 (step @p41 :rule cong :premises (@p40) :args (@t59)) % 0.44/0.80 (step @p42 :rule refl :args (@t60)) % 0.44/0.80 (step @p43 :rule cong :premises (@p42 @p41) :args (@t61)) % 0.44/0.80 (step @p44 :rule bool-double-not-elim :args (@t80)) % 0.44/0.80 (step @p45 :rule evaluate :args (@t95)) % 0.44/0.80 (step @p46 :rule refl :args (@t2)) % 0.44/0.80 (step @p47 :rule cong :premises (@p46 @p45) :args (@t96)) % 0.44/0.80 (step @p48 :rule cong :premises (@p47) :args ((not @t96))) % 0.44/0.80 (step @p49 :rule arith-leq-norm :args (@t2 0)) % 0.44/0.80 (step @p50 :rule trans :premises (@p49 @p48)) % 0.44/0.80 (step @p51 :rule cong :premises (@p50) :args (@t29)) % 0.44/0.80 (step @p52 :rule trans :premises (@p51 @p44)) % 0.44/0.80 (step @p53 :rule cong :premises (@p52 @p43) :args (@t62)) % 0.44/0.80 (step @p54 :rule arith_poly_norm :args ((= (* 1 (- @t60 @t1)) (* -1 (- @t1 @t60))))) % 0.44/0.80 (step @p55 :rule arith_poly_norm_rel :premises (@p54) :args ((= @t63 @t85))) % 0.44/0.80 (step @p56 :rule cong :premises (@p50 @p55) :args (@t64)) % 0.44/0.80 (step @p57 :rule nary_cong :premises (@p56 @p53) :args (@t65)) % 0.44/0.80 (step @p58 :rule cong :premises (@p57) :args (@t66)) % 0.44/0.80 (step @p59 :rule trans :premises (@p58 @p31)) % 0.44/0.80 (step @p60 :rule eq_resolve :premises (@p13 @p59)) % 0.44/0.80 (step @p61 :rule and_elim :premises (@p60) :args (0)) % 0.44/0.80 (step @p62 :rule refl :args (@t102)) % 0.44/0.80 (step @p63 :rule arith_poly_norm :args ((= (* -11 (- @t100 1)) (* -11 (- tptp.g1 11))))) % 0.44/0.80 (step @p64 :rule arith_poly_norm_rel :premises (@p63) :args ((= @t104 @t103))) % 0.44/0.80 (step @p65 :rule nary_cong :premises (@p64 @p62) :args (@t105)) % 0.44/0.80 (step @p66 :rule refl :args (@t106)) % 0.44/0.80 (step @p67 :rule cong :premises (@p66 @p65) :args ((=> @t106 @t105))) % 0.44/0.80 (assume-push @p1112 @t106) % 0.44/0.80 (step @p69 :rule instantiate :premises (@p61) :args ((@list @t100 @t99))) % 0.44/0.80 (step-pop @p1113 :rule scope :premises (@p69)) % 0.44/0.80 (step @p70 :rule process_scope :premises (@p1113) :args (@t105)) % 0.44/0.80 (step @p72 :rule eq_resolve :premises (@p70 @p67)) % 0.44/0.80 (step @p73 :rule implies_elim :premises (@p72)) % 0.44/0.80 (step @p74 :rule chain_m_resolution :premises (@p73 @p61) :args (@t107 @t108 @t109)) % 0.44/0.80 (step @p75 :rule refl :args (@t112)) % 0.44/0.80 (step @p76 :rule arith_poly_norm :args ((= (* -6 (- @t110 1)) (* -6 (- tptp.g1 6))))) % 0.44/0.80 (step @p77 :rule arith_poly_norm_rel :premises (@p76) :args ((= @t114 @t113))) % 0.44/0.80 (step @p78 :rule nary_cong :premises (@p77 @p75) :args (@t115)) % 0.44/0.80 (step @p79 :rule cong :premises (@p66 @p78) :args ((=> @t106 @t115))) % 0.44/0.80 (assume-push @p1114 @t106) % 0.44/0.80 (step @p81 :rule instantiate :premises (@p61) :args ((@list @t110 @t99))) % 0.44/0.80 (step-pop @p1115 :rule scope :premises (@p81)) % 0.44/0.80 (step @p82 :rule process_scope :premises (@p1115) :args (@t115)) % 0.44/0.80 (step @p84 :rule eq_resolve :premises (@p82 @p79)) % 0.44/0.80 (step @p85 :rule implies_elim :premises (@p84)) % 0.44/0.80 (step @p86 :rule chain_m_resolution :premises (@p85 @p61) :args (@t116 @t108 @t109)) % 0.44/0.80 (assume-push @p1116 @t113) % 0.44/0.80 (assume-push @p1117 @t54) % 0.44/0.80 (step @p89 :rule bool-double-not-elim :args (@t113)) % 0.44/0.80 (step @p90 :rule arith-elim-lt :args (tptp.g1 6)) % 0.44/0.80 (step @p91 :rule cong :premises (@p90) :args ((not (< tptp.g1 6)))) % 0.44/0.80 (step @p92 :rule trans :premises (@p91 @p89)) % 0.44/0.80 (step @p93 :rule symm :premises (@p92)) % 0.44/0.80 (step @p94 :rule eq_resolve :premises (@p1116 @p93)) % 0.44/0.80 (step @p95 :rule symm :premises (@p90)) % 0.44/0.80 (assume-push @p1118 @t113) % 0.44/0.80 (step @p97 :rule evaluate :args ((<= 0 -5))) % 0.44/0.80 (step @p98 :rule evaluate :args ((+ -6 1))) % 0.44/0.80 (step @p99 :rule refl :args (1)) % 0.44/0.80 (step @p100 :rule evaluate :args (@t117)) % 0.44/0.80 (step @p101 :rule nary_cong :premises (@p100 @p99) :args (@t118)) % 0.44/0.80 (step @p102 :rule trans :premises (@p101 @p98)) % 0.44/0.80 (step @p103 :rule arith_poly_norm :args (@t121)) % 0.44/0.80 (step @p104 :rule cong :premises (@p103 @p102) :args ((<= @t120 @t118))) % 0.44/0.80 (step @p105 :rule trans :premises (@p104 @p97)) % 0.44/0.80 (step @p106 :rule arith_mult_neg :args (-1 @t113)) % 0.44/0.80 (step @p107 :rule evaluate :args (@t122)) % 0.44/0.80 (step @p108 :rule true_elim :premises (@p107)) % 0.44/0.80 (step @p109 :rule and_intro :premises (@p108 @p1116)) % 0.44/0.80 (step @p110 :rule modus_ponens :premises (@p109 @p106)) % 0.44/0.80 (step @p111 :rule arith_sum_ub :premises (@p110 @p11)) % 0.44/0.80 (step @p112 false :rule eq_resolve :premises (@p111 @p105)) % 0.44/0.80 (step-pop @p1119 :rule scope :premises (@p112)) % 0.44/0.80 (step @p113 :rule process_scope :premises (@p1119) :args (false)) % 0.44/0.80 (step @p115 :rule eq_resolve :premises (@p113 @p95)) % 0.44/0.80 (step @p116 false :rule contra :premises (@p115 @p94)) % 0.44/0.80 (step-pop @p1120 :rule scope :premises (@p116)) % 0.44/0.80 (step-pop @p1121 :rule scope :premises (@p1120)) % 0.44/0.80 (step @p117 :rule process_scope :premises (@p1121) :args (false)) % 0.44/0.80 (assume-push @p1122 @t54) % 0.44/0.80 (assume-push @p1123 @t113) % 0.44/0.80 (step @p122 :rule and_intro :premises (@p1123 @p11)) % 0.44/0.80 (step-pop @p1124 :rule scope :premises (@p122)) % 0.44/0.80 (step-pop @p1125 :rule scope :premises (@p1124)) % 0.44/0.80 (step @p123 :rule process_scope :premises (@p1125) :args (@t123)) % 0.44/0.80 (step @p126 :rule implies_elim :premises (@p123)) % 0.44/0.80 (step @p127 :rule resolution :premises (@p126 @p117) :args (true @t123)) % 0.44/0.80 (step @p128 :rule 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scope :premises (@p1104)) % 0.44/0.81 (step-pop @p1399 :rule scope :premises (@p1398)) % 0.44/0.81 (step @p1105 :rule process_scope :premises (@p1399) :args (@t359)) % 0.44/0.81 (step @p1108 :rule implies_elim :premises (@p1105)) % 0.44/0.81 (step @p1109 :rule resolution :premises (@p1108 @p1099) :args (true @t359)) % 0.44/0.81 (step @p1110 :rule not_and :premises (@p1109)) % 0.44/0.81 (step @p1111 false :rule chain_m_resolution :premises (@p1110 @p1073 @p11) :args (false @t230 (@list @t103 @t54))) % 0.44/0.81 ) % 0.44/0.81 % SZS output end Proof % 0.44/0.81 % cvc5 exiting %------------------------------------------------------------------------------